Analytical solutions for the Bohr Hamiltonian with the Woods-Saxon potential
Nuclear Theory
2015-11-23 v1
Abstract
Approximate analytical solutions in closed form are obtained for the 5-dimensional Bohr Hamiltonian with the Woods-Saxon potential, taking advantage of the Pekeris approximation and the exactly soluble one-dimensional extended Woods-Saxon potential with a dip near its surface. Comparison to the data for several gamma-unstable and prolate deformed nuclei indicates that the potential can describe well the ground state and gamma-1 bands of many prolate deformed nuclei corresponding to large enough "well size" and diffuseness, while it fails in describing the beta-1 bands, due to its lack of a hard core, as well as in describing gamma-unstable nuclei, because of the small "well size" and diffuseness they exhibit.
Keywords
Cite
@article{arxiv.1506.07444,
title = {Analytical solutions for the Bohr Hamiltonian with the Woods-Saxon potential},
author = {M. Capak and D. Petrellis and B. Gonul and Dennis Bonatsos},
journal= {arXiv preprint arXiv:1506.07444},
year = {2015}
}
Comments
24 pages, 6 figures, 5 tables